Testing the Difference Between Two Means In Exercises 9–20, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) calculate
17. Product Ratings A company claims that its consumer product ratings (0–10) have changed from last year to this year. The table shows the company’s product ratings from the same eight consumers for last year and this year. At α = 0.05, is there enough evidence to support the company’s claim?
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MYLAB STATISTICS: ELEMENTARY STATISTICS
- provide an example of hypothesis testing using the t score testarrow_forwardA research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…arrow_forwardH0: p1=p2 H1: p1<p2 1) Identify the test statistic. 2)Identify the P-value.arrow_forward
- hypothesis test, a. determine the null hypothesis. b. determine the alternative hypothesis. c. classify the hypothesis test as two tailed, left tailed, or right tailed. Toxic Mushrooms? Cadmium, a heavy metal, is toxic to ani-mals. Mushrooms, however, are able to absorb and accumulate cad-mium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and pub-lished the results in the paper “Influence of Some Factors in Toxi-city and Accumulation of Cd from Edible Wild Macrofungi in NW Spain” (Journal ofEnvironmental Science and Health, Vol. B33(4), pp. 439–455). A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended limitarrow_forwardHypothesis testing will consist of four hypothesis tests which you need to complete. each test will require the following: Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:arrow_forwardnew teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 57% of the students Two professors at a local college developed complete the course with a letter grade of A, B, or C. In the experimental course, of the 16 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). (d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test. First determine the P-value. P-value = (Round to three decimal places as needed.)arrow_forward
- Test the claim that the proportion of people who own cats is larger than 30% at the 0.05 significance level.The null and alternative hypothesis would be: Based on a sample of 200 people, 32% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)arrow_forwardDetemine the P-value for this hypothesis test.arrow_forwardSample 1 Sample 2 Assume that both populations are normally distributed. a) Test whether u, >H, at the a = 0.10 level of significance for the given sample data. b) Construct a 90% confidence interval about u, - H2 19 12 45.3 37.7 X 9 8.2 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 > H2, Hq: Hq H2 OC. Ho: H1 = H2. Hq: Hq H2arrow_forward
- A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human originsH0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 104 89 193 total 134 125 259 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender and…arrow_forwardTesting Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Lead in Medicine Listed below are the lead concentrations (in μ g/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from “Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet,” by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8). Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is…arrow_forwardK Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2157 passenger cars in a particular region, 239 had only rear license plates. Among 354 commercial trucks, 52 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. this 6: Q tion 2 Z B. Ho: P₁ H₁: P₁ View an example 34,339 1- P1 P2 F2 W Ho: P1 H₁ P1 S Identify the test statistic. (Type an integer or a decimal. Round to two decimal places as needed.) P2 D. Ho: P1 P2 H₁: P1 P2 P2 #3 X P2 P2 20 F3 command Get more help - ▲ E D NOV 20 888 F4 $ 54 с R F % 5 útv T V G MacBook…arrow_forward
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